Find the mean and variance for each of the data First \[10\] multiples of \[3\] - Noon Academy

Find the mean and variance for each of the data First

$10$

multiples of

$3$

Class 11 | Exercise 15.2 | Maths | NCERT | Statistics

Find the mean and variance for each of the data First

$10$

multiples of

$3$

Solution:-

Let us take

$10$

multiples of

$3$

are

$3,6,9,12,15,18,21,24,27,30$

We know that Mean =

$\bar{X}=\sum\limits_{i=1}^{a}{{{x}_{i}}}$

$\overline{x}=(3+6+9+12+15+18+21+24+27+30)/10$

=

$165/10$

=

$16.5$

Draw the table of the data and append other columns after calculations.

Then, Variance

${{\sigma }^{2}}=\frac{1}{n}\sum\limits_{i=1}^{a}{{{({{x}_{i}}-\overline{x})}^{2}}}$

=

$(1/10)\times 742.5$

=

$74.25$

Therefore, Mean =

$16.5$

and Variance =

$74.25$

i

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